Endofunctors of singularity categories characterizing Gorenstein rings
HTML articles powered by AMS MathViewer
- by Takuma Aihara and Ryo Takahashi PDF
- Proc. Amer. Math. Soc. 143 (2015), 3777-3779 Request permission
Abstract:
In this paper, we prove that certain contravariant endofunctors of singularity categories characterize Gorenstein rings.References
- Maurice Auslander and Mark Bridger, Stable module theory, Memoirs of the American Mathematical Society, No. 94, American Mathematical Society, Providence, R.I., 1969. MR 0269685
- R.-O. Buchweitz, Maximal Cohen-Macaulay modules and Tate-cohomology over Gorenstein rings, Preprint (1986), http://hdl.handle.net/1807/16682.
Additional Information
- Takuma Aihara
- Affiliation: Graduate School of Mathematics, Nagoya University, Furocho, Chikusaku, Nagoya, Aichi 464-8602, Japan
- Address at time of publication: Faculty of Liberal Arts and Sciences, Osaka Prefecture University, 1-1 Gakuen-cho, Nakaku, Sakai, Osaka 599-8531, Japan
- Email: aihara@las.osakafu-u.ac.jp
- Ryo Takahashi
- Affiliation: Graduate School of Mathematics, Nagoya University, Furocho, Chikusaku, Nagoya, Aichi 464-8602, Japan
- MR Author ID: 674867
- Email: takahashi@math.nagoya-u.ac.jp
- Received by editor(s): May 18, 2014
- Published electronically: April 29, 2015
- Additional Notes: The first author was partly supported by IAR Research Project, Institute for Advanced Research, Nagoya University.
The second author was partly supported by JSPS Grant-in-Aid for Scientific Research (C) 25400038 - Communicated by: Irena Peeva
- © Copyright 2015 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 143 (2015), 3777-3779
- MSC (2010): Primary 13D09, 13H10, 18E30
- DOI: https://doi.org/10.1090/proc/12580
- MathSciNet review: 3359569